A company manufactures rope, and the total cost of producing r r feet of rope is C ( r ) C(r) dollars. What does it mean to say that C ( 2000 ) = 800 ? C(2000)=800? What are the units of C ′ ( r ) ? C′(r)? Suppose that C ( 2000 ) = 800 C(2000)=800 and C ′ ( 2000 ) = 0.35 . C′(2000)=0.35. Estimate C ( 2100 ) , C(2100), and justify your estimate by writing at least one sentence that explains your thinking. Do you think C ′ ( 2000 ) C′(2000) is less than, equal to, or greater than C ′ ( 3000 ) ? C′(3000)? Why? Suppose someone claims that C ′ ( 5000 ) = − 0.1 . C′(5000)=−0.1. What would the practical meaning of this derivative value tell you about the approximate cost of the next foot of rope? Is this possible? Why or why not?

Sharon had some insider information about a corporate takeover. she unintentionally informed a friend, who immediately bought the stock in the target corporation. the takeover occurred and the friend made a substantial profit from buying and selling the stock. the friend told sharon about his stock dealings, and gave her a pearl necklace because she "made it all possible." the necklace was worth $10,000, but she already owned more jewelry than she desired.

Which of the following is likely not a benefit of requiring a grand jury to listen to and examine all of the evidence against a person suspected of committing a serious crime and then independently deciding whether or not to hand down an indictment? 1.the grand jury system provides the accused another safeguard against being sent to trial and facing conviction based on flawed evidence. 2.the members of the grand jury are drawn from the community and are empowered to render independent decisions about whether or not the government has collected enough evidence to bring an individual to trial. 3.the grand jury’s decision can provide prosecutors insight into what is necessary to build a sufficient case if a similar crime is presented later. 4.the grand jury is impaneled to rubber-stamp prosecutors’ cases, which makes it possible for more cases to reach trial.

In a market economy, supply and demand are important because theya. (i) play a critical role in the allocation of the economy's scarce resources. b. (ii) determine how much of each good gets produced. c. (iii) can be used to predict the impact on the economy of various events and policies. d. all of (i), (ii), and (iii) are correct.